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38285965000 = 235447197827
BaseRepresentation
bin100011101010000001…
…010111011011001000
310122211012210112111201
4203222001113123020
51111402201340000
625331025033544
72523522222133
oct435201273310
9118735715451
1038285965000
111526747a198
127505a858b4
1337c1c3097a
141bd2ab121a
15ee12ae96a
hex8ea0576c8

38285965000 has 160 divisors (see below), whose sum is σ = 92188990080. Its totient is φ = 14894432000.

The previous prime is 38285964961. The next prime is 38285965009. The reversal of 38285965000 is 56958283.

It is not an unprimeable number, because it can be changed into a prime (38285965009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46294587 + ... + 46295413.

It is an arithmetic number, because the mean of its divisors is an integer number (576181188).

Almost surely, 238285965000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38285965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46094495040).

38285965000 is an abundant number, since it is smaller than the sum of its proper divisors (53903025080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38285965000 is a wasteful number, since it uses less digits than its factorization.

38285965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 38285965000 in words is "thirty-eight billion, two hundred eighty-five million, nine hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 197 200 235 250 376 394 470 500 625 788 827 940 985 1000 1175 1250 1576 1654 1880 1970 2350 2500 3308 3940 4135 4700 4925 5000 5875 6616 7880 8270 9259 9400 9850 11750 16540 18518 19700 20675 23500 24625 29375 33080 37036 38869 39400 41350 46295 47000 49250 58750 74072 77738 82700 92590 98500 103375 117500 123125 155476 162919 165400 185180 194345 197000 206750 231475 235000 246250 310952 325838 370360 388690 413500 462950 492500 516875 651676 777380 814595 827000 925900 971725 985000 1033750 1157375 1303352 1554760 1629190 1851800 1943450 2067500 2314750 3258380 3886900 4072975 4135000 4629500 4858625 5786875 6516760 7657193 7773800 8145950 9259000 9717250 11573750 15314386 16291900 19434500 20364875 23147500 24293125 30628772 32583800 38285965 38869000 40729750 46295000 48586250 61257544 76571930 81459500 97172500 101824375 153143860 162919000 191429825 194345000 203648750 306287720 382859650 407297500 765719300 814595000 957149125 1531438600 1914298250 3828596500 4785745625 7657193000 9571491250 19142982500 38285965000